9,256,492

2² × 7² × 83 × 569

Starting at 9,256,492, the Collatz iteration reaches 1 after 181 steps. The first transition is 4628246; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 83 × 569

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 19,104,120

Proper Divisor Sum 9,847,628

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9256469 ← → #9256493

Radix Representation

Decimal	9256492
Binary	100011010011111000101100 (24 bits)
Octal	0o43237054
Hexadecimal	0x8D3E2C

Divisor Catalog (36)

1 2 4 7 14 28 49 83 98 166 196 332 569 581 1,138 1,162 2,276 2,324 3,983 4,067 7,966 8,134 15,932 16,268 27,881 47,227 55,762 94,454 111,524 188,908 330,589 661,178 1,322,356 2,314,123 4,628,246 9,256,492

Collatz Trajectory (181 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,256,492 4,628,246 2,314,123 6,942,370 3,471,185 10,413,556 5,206,778 2,603,389 7,810,168 3,905,084 1,952,542 976,271 2,928,814 1,464,407 4,393,222 2,196,611 6,589,834 3,294,917 9,884,752 4,942,376 2,471,188 1,235,594 617,797 1,853,392 926,696 463,348 231,674 115,837 347,512 173,756 86,878 43,439 130,318 65,159 195,478 97,739 293,218 146,609 439,828 219,914 109,957 329,872 164,936 82,468 41,234 20,617 61,852 30,926 15,463 46,390 23,195 69,586 34,793 104,380 52,190 26,095 78,286 39,143 117,430 58,715

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